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hgkmx kin Dmx{m
w in Vgjmhgkmx kin dmx{m*Sinbhgj ki nmx hmj{ijgkmx ij bzyhbsix w hgkmx hmj nb hbngkbk ki nmx dmx{mx*hgkmx kin vgjmIrygngcsgmx hgkm$cbxi ij in vgjm*Hbqbhgkbk {bdqj ki nmx vgjmx*
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BHGKMX QSMHIKIJ[IX KI NB YVB
Yvbx xbjbx
Bhgkm {bs{sghm Bhgkm dnghm Bhgkm h{sghm
Yvbx Qmksgkb
gjghgm
hgkm enyhjghm
3$hi{menyhjghm
3.9$bhi{menyhjgjhm
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BHGKMX
GJMSEJGHMX
Fmxfb{mx QM;8$
Xynfb{mx XM;3$
Jg{sb{mx JM8$
MSEJGHMX
Bjgmjix?
Hnbxgfghbhgj xiej xy msgeij?Qsmhikij{ix ki nb yvb?
$yvb xbjb$yvb qmksgkb
Qsmhikij{ix ki nb fisdij{bhgj?$Fisdij{bhgj bnhmlnghb*$Fisdij{bhgj dbnmnh{ghb*
Ix{syh{ysb rydghb? Qmxiij djgdm yj esyqm hbscm|gnm
$HMML
[gijij yjb hbkijb ki hbscmjm
hbsbh{isx{ghb* M{smx esyqmx fyjhgmjbnix xmj?$ML lgksm|ghgkmx*$H4M hi{mhgkmx*$JL3 bdgjmhgkmx*
Nb ix{syh{ysb rydghb hmjkghgmjb?$qsmqgikbkix fxghbx*$qsmqgikbkix rydghbx*
Gjfnyijhgb ki nmx hgkmx msejghmxxmcsi?
Dbkysiz ki nb yvb?
Fmsdbx ki i|qsixgj kin hmj{ijgkm ki
hgkmx
Qsmqgikbkix xijxmsgbnix kin vgjm?Eyx{m*,hgkm'Vgx{b ,hmnms. ngdqgkiz'
Mnms ,fmsdbhgj ki ix{isix'
Nmx hgkmx msejghmx hmjkghgmjbjnb ix{bcgngkbk kin vgjm? Dghsmcgmneghm ,XM3. dbwms bhgkiz diomshmjxisvbhgj'?
$Qghbkm bh{ghm*$Qghbkm nh{ghm*$Vyin{b. [mysjii m sicm{i*
Rydghm? Hmdm in {bs{sghm ryi ixsixqmjxbcni ki qsihgqg{bhgmjix*
http://g/ACIDOS.ppt#-1,3,ACIDOS%20PROCEDENTES%20DE%20LA%20UVAhttp://g/ACIDOS.ppt#-1,7,Propiedades%20f%EF%BF%BDcashttp://g/ACIDOS.ppt#-1,7,Propiedades%20f%EF%BF%BDcashttp://g/ACIDOS.ppt#-1,3,ACIDOS%20PROCEDENTES%20DE%20LA%20UVA8/2/2019 Acidos del Mosto y el Vino
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Bhgkm {bs{sghmKmx hbscmjmx bxgd{sghmx ,kmx hij{smx rygsbnix'
Bhgkm$SX${bs{sghm Bhgkm$XS${bs{sghm
Bhgkm [bs{sghm fmsdb dixm mq{ghbdij{i gjbh{gvb
gjghgm
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Bhgkm dnghm
Yj hbscmjm bxgd{sghm ,yj hbscmjm rygsbn'
Bhgkm Dnghm S Bhgkm Dnghm X
gjghgm
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BHGKMX QSMHIKIJ[IX KI NB FISDIJ[BHGJ
Bnhmlnghb?
Bh* xyhhjghm Bh* bh{ghm Bh* K$Nh{ghm
Dbnmnh{ghb?
Bh* K$Nh{ghm Bh* Xyhhjghm
gjghgm
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Qsmqgikbkix fxghbx
Qyj{mx ki fyxgj w ki icynnghgj?[bj{m in qyj{m ki fyxgj hmdm in ki icynnghgj xi inivbj bn bydij{bs injydism ki hbscmjmx ki nb hbkijb. bkidx. nmx qyj{mx ki icynnghgj xmjdx bn{mx ki nm ryi hbcsgb ixqisbs bn hmdqbsbsxi hmj lgksmhbscysmx kiqixm dmnihynbs xidiobj{i ix{m xi kici b nb fmsdbhgj ki qyij{ix kilgksmeijm gj{isdmnihynbsix ryi msgegjbj nb fmsdbhgj ki kdismx.{sdismx
XmnycgngkbkNb xmnycgngkbk xi i|qnghb ij cbxi b ryi in esyqm hbscm|gnm qyiki bhiq{bs whikis L+ hmj nbx dmnhynbx ki beyb* Qms innm. hmj yjb hbkijb hbscmjbkbhms{b ix{mx xmj xmnycnix ij beyb. qism b dikgkb ryi bydij{b nb nmjeg{ykki nb hbkijb. in ixryini{m hbscmjbkm ,bqmnbs' bkrygisi qsgmsgkbk w nbxmnycgngkbk ij beyb kihsihi sqgkbdij{i. dgij{sbx bydij{b nb xmnycgngkbk
ij kgxmnvij{ix bqmnbsix*
gjghgm
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Qsmqgikbkix rydghbx
Bhgkiz?Nmx hgkmx hikij yj qsm{j bn beyb w xi hmjvgis{ij ij cbxix hmjoyebkbx. ix{b bhgkiz vgiji
siqsixij{bkb qms nb hmjx{bj{i ki gmjgzbhgj. @b
Nmx vbnmsix ki nb hmjx{bj{i ki gmjgzbhgj ki nmx hgkmx msejghmx ix{j {mkmx ij{msjm b 21$9. xmj qms nm{bj{m hgkmx kcgnix w kbsj nyebs b cbxix fyis{ix*
Yj hgkm msejghm qyiki sihmjmhisxi qms? Hmnmsibj ki smom in qbqin {msjbxmn Xi jiy{sbngzbj hmj cbxix fyis{ix hmdm JbML m kicgnix hmdm JL8* Sibhhgmjbj hmj HM8LJb kbjkm HM3,ebx' Sibhhgmjbj hmj di{bnix fmsdbjkm L3,ebx'*
2 23 3
283
@b
BHGKM CBXICBXI BHGKM
L ML MS HMML S HMM+ +
P T8
8
8
0
nme
nme nme
L M S HMM@b L M L
S HMML
q@b @bqL L L M
+
+ +
+ +
4 4
4 4 4
@b bhgkiz q@b
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Qsmqgikbkix rydghbx
Sixmjbjhgb? In gj hbscm|gnb{m ix{b ix{bcgngzbkm qms sixmjbjhgb. ix dbxix{bcni qyix{m ryi ix i|hixm ki hbseb jieb{gvb xi qyiki siqbs{gs ij{si nmx kmx
m|geijmx. bn xis dbx ix{bcni {ijkisb dx b fmsdbsxi ryi nmx dijmx ix{bcnix hmdm ingj bnh|gkm. hikisb dx fbhgndij{i xy qsm{j*
Ifih{m gjkyh{gvm? Ifih{m qsmkyhgkm qms nb kgx{sgcyhgj ki nb hbsebjieb{gvb ij nb ix{syh{ysb. kiqijkgijkm ki nmx esyqmx fyjhgmjbnix yjgkmx b nb ix{syh{ysbin ifih{m gjkyh{gvm qmks xis qmxg{gvm m jieb{gvm*
+G? Hybjkm in esyqm fyjhgmjbn ix b{sbh{ms ,Hn' kgx{sgcygs dioms nb hbseb jieb{gvbki nb cbxi hmjoyebkb qms nm ryi xy bhgkiz bydij{bsb*
$G? Hybjkm in esyqm fyjhgmjbn ix kbkms ,HL8' nb hbseb xi kgx{sgcywi qims ij nb
ix{syh{ysb w nb bhgkiz kgxdgjywi wb ryi kgxdgjywi nb ix{bcgngkbk ki nb cbxi hmjoyebkb*
8 3 3Hn H HMML Hn HL HMML HnHL HMML
8 3 3 8HL HL HL HMML HL HMML
gjghgm
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Fmsdbx ki i|qsixgj kin hmj{ijgkm
ki hgkmx*Nb ki{isdgjbhgj kin hmj{ijgkm ki hgkmx xi sibngzb qms dikgm ki yjb {g{ynbhgj m vbnmsbhgj
hgkm$cbxi. esbhgbx b yj sibh{gvm vbnmsbj{i?
V J V J 4 V Vmnydij
J jmsdbngkbk
P T
dmx{m
irJ NJ V
JV
4
4
Mc{ijidmx dir ki hgkm qms ng{sm mesbdm ki dmx{m
Dikgkb ki nb bhgkiz {g{ynbcni? I|gx{ij kgx{gj{bx fmsdbx ki i|qsixgj. ijfyjhgj ki nb dikgkb rydghb. kin hgkm {bs{sghm w kin hgkm xynfsghm*
Nb dikgkb rydghb?
kgxmnyhgj
ddmnixdir
N
Ij fyjhgj kin xynfsghm? 3 ;3 ;
, ' ;7dmx{m
esL XM esQir L XMN ir 4
Ij fyjhgj kin [bs{sghm? 33, ' 59
dmx{m
esL [ esQir L [
N ir
4
Nb dikgkb ij fyjhgj kin hgkm xynfsghm ix{b ij kixyxm. xi y{gngzb nbkin hgkm {bs{sghm
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Fmsdbx ki i|qsixgj kin hmj{ijgkm
ki hgkmx*Xi kicij ki {ijis ij hyij{b b nb lmsb ki vbnmsbs nbx kgx{gj{bx fmsdbx kin {bs{sghm ij kgxmnyhgj?
3
3
L [ L L[
L[ L [
+
+
+
+
Ij nb vbnmsbhgj xi kici jiy{sbngzbs {m{bndij{i in hgkm. qism
in {bs{sghm xyfsi m{sb xisgi ki sibhhgmjix ryi bfih{bj bn qLki jiy{sbngzbhgj bn ryi {ijidmx ryi nniebs*
3 3 33 3L [ JbML Jb [ L M+ +
In qsmkyh{m fmsdbkm ix yjb xbn ki yjb cbxi fyis{i wyj hgkm kcgn qms nm ryi nb xbn xi lgksmngzb*
3
33
3
3L M
Jb [ Jb [
[ [L ML
+
+
+ Ij kgxmnyhgj jmx ryikbsb ML$. hybjkmbhbcidmx nb vbnmsbhgj jm {ijksidmx yj qLjiy{sm ki 5. {ijksidmx yj qL dbwms*
M*G*V*,Iysmqb' [g{ynbhgj lbx{b qL45Y*X*B*,Bdisghb' [g{ynbhgj lbx{b qL4
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Fmsdbx ki i|qsixgj kin hmj{ijgkm
ki hgkmx*Hmj nb bhgkiz {g{ynbcni hmjmhidmx in hmj{ijgkm ki hgkmx ngcsix ryi {ijidmx ijjyix{sm dmx{m. qism {bdcgj jihixg{bdmx hmjmhis nb hbj{gkbk ki hgkmx hmdcgjbkmxij fmsdb ki xbnix ryi i|gx{ij ij kgxmnyhgj ix{m nm qmkidmx hmjmhis esbhgbx b nbdikgkb ki nb bnhbngjgkbk ki nbx hijgzbx*
Bnhbngjgkbk ki nbx hijgzbx? Xi kijmdgjb bnhbngjgkbk {m{bn ki hijgzbx nb xydbki nmx hb{gmjix. kgfisij{ix kin bdmjgm. hmdcgjbkmx hmj nmx hgkmx msejghmx kin
vgjm*Ix{b dikgkb xi sibngzb hbnhgjbjkm ij qsixijhgb ki bgsi yj vmnydij hmjmhgkm kidmx{m m vgjm ,mc{ijgijkm xyx hijgzbx' w vbnmsbjkm qms si{smhixm in i|hixm kihgkm hnmslksghm ki hmjhij{sbhgj hmjmhgkb idqnibkm ij kgxmnvis nbx hijgzbx*
Bhgkiz {m{bn? Ix in hmj{ijgkm {m{bn ij hgkmx*Bhgkiz {m{bn ,dir-N' 4 Bhgkiz {g{ynbcni ,dir-N' + Bnhbngjgkbk ki nbx hijgzbx ,dir-N'
Bhgkiz vmn{gn? Hmjoyj{m ki hgkmx fmsdbkmx kysbj{i nb fisdij{bhgj mhmdm hmjxihyijhgb ki bn{isbhgmjix dghsmcgbjbx* Ix{mx hgkmx xmj.
qsgjhgqbndij{i? hgkm Bh{ghm. hgkm Qsmqgmjghm. hgkm Cy{sghm w hgkmXynfsghm
Bhgkiz fgob?Bhgkiz {g{ynbcni bhgkiz vmn{gn*
gjghgm
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DBKYSI_ KI NB YVBDbkysiz fgxgmneghb*Dbkysiz gjkyx{sgbn*
QSIVGXGMJIX?
Hms{m qnbzm? Cbxbkbx ij bjngxgxqisgkghmx b qbs{gs kin ijvism*
Nbsem qnbzm? Cbxbkbx ij in hghnmviei{b{gvm*
$Fnmsbhgj dbx 211 kbx*
$Ijvism dbx 81$;1 kbx
HBSBH[ISG_BHGJ? jkghixSinbhgj Bzyhbsix-hgkmxHmifghgij{i ki cmjkbz
Fbh{ms ki dbkysbhgjCbssbegmnbFissHmifghgij{i ki xb{ysbhgj ij cbxi*
FBH[MSIX?Qisdbjij{ix? Xyinm. Vbsgikbk. Ikbk ki nb vgk.Hngdb*
Dmkgfghbcnix? Hmjkghgmjix ki hyn{gvm ,dbshmki qnbj{bhgj. {gqm ki qmkb'. Bcmjbkm mfis{gngzbhgj*Hngdb{mneghmx? Hbnms. lydikbk. nydgjmxgkbk.
qnyvgmdi{sb*Bhhgkij{bnix? Ijfisdikbkix. di{isimneghmx*
HMSIHHGMJIX?
Jb{ysbnix? $Bkg{gvbx ,dizhnb ki yvbx'
$Xyx{sbh{gvbx ,ingdgjbhgjki kgxmnvij{i'
Bs{gfghgbnix? $Bkg{gvbx
$Xyx{sbh{gvbx
gjghgm
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QsivgxgmjixXmj jihixbsgbx qbsb vis nb ivmnyhgj kin fsy{m. nbx hmssihhgmjix ryi xisj jihixbsgbx w nbqsiqbsbhgj ki nbx gjx{bnbhgmjix qbsb nb sihiqhgj ki nb yvb*
Nbsem qnbzm? Cbxbkbx ij in hghnm viei{b{gvm ki nb vgk. ix kihgs vgijkm nmx hbdcgmfgxgmneghmx ryi xyfsi. ij in dmdij{m ki nb fnmsbhgj xbcidmx ryi nb dbkysbhgj xisbqsm|gdbkbdij{i ij yjmx 211 kbx. m nb fgobhgj kin ijvism. ix{bx qsivgxgmjix xmjbqsm|gdbkbx qms innm jihixg{bsidmx nbx qsivgxgmjix b hms{m qnbzm ryi jmx kbsj i|bh{g{ykxmcsi in ix{bkm ki dbkysiz ki nb yvb*
Hms{m qnbzm? Yjb viz fgobkm in ijvism qms nbx qsivgxgmjix b nbsem qnbzm. xi hmdgijzbjb {mdbs dyix{sbx bqsm|gdbkbdij{i hbkb 31 kbx. ix{m kiqijkis ki nb zmjb ij nb ryi jmxijhmj{sidmx. ij zmjbx hbngkbx xi kici {mdbs hbkb 5 21 kbx. xiej nmx sixyn{bkmx ki nmxbjngxgx sibngzbkmx xmcsi nbx dyix{sbx gsidmx sikyhgijkm in qisgmkm ki dyix{sim lbx{b
hbkb kmx kbx. in qsmcnidb ki ix{bx qsivgxgmjix ix nb {mdb ki dyix{sb. ix{b kici ki xissiqsixij{b{gvb. xi xyinij sibngzbs?
391 yvbx qms qbshinb
[mdb bn{isjb{gvb b yj nbkm w m{sm ki nb lgnisb*Kgx{gj{bx bn{ysbx ki nb vgk*
gjghgm
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Hbsbh{isgzbhgj. jkghix ki
dbkysizhmxeny bfsyh{mxb
Xi yxb qbsb nb fgobhgj kin ijvism w hmdgijzm kin qisgmkmki dbkysiz*
In hmj{ijgkm ki bzyhbsix bydij{b w in ki hgkmxkgxdgjywi kysbj{i nb dbkysiz. nmx hgkmx kgxdywij qms
hmdcyx{gj sixqgsb{msgb. jiy{sbngzbhgj qms xbnix. kgnyhgj. i{h* Ix{i jkghi ij zmjbx hmhngdbx hbngkmx qsixij{b bneyjmx qsmcnidbx. in {bs{sghm xi kiesbkb b {idqisb{ysbxdbwmsix ki 81H w in dnghm b {idqisb{ysbx gjfisgmsix. qms nm ryi ij zmjbx hmj hngdbx
dyw hbngkmx xi yxb jghbdij{i in jkghi ki bzyhbsix xgj {ijis ij hyij{b nmx hgkmx*Kiqijkgijkm ki nbx zmjbx i|gx{ij kgx{gj{bx fmsdbx ki i|qsixgj kin jkghi bzhbs-hgkm
Jgvin ki {isqijmx ? Hmj ix{i jkghi qmkidmx hmjmhis in dmdij{m gkjim qbsbnb hmxihlb ij fyjhgj kin bsmdb*
Dikgkb kin Hmnms ? Ij fyjhgj kin jkghi ki qmngfijmnix ,GQ['
jkghi ki fnbvmjmgkix
jkghi ki ix{gsijmxBjngxgx ki qsmngjb? qbsb hmjmhis in x{sixx lksghm. i{h*
BzyhbsBhgkiz
gjghgm
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JKGHIX B_YHBS-BHGKI_
3 ;
, '
3 ; , '* , 'bzyhbsix
L XM
eses NBzyhbsixBh [g{ynbcni es L XM N es4 4
2111
dbxb deMi vmnydij dn
4
3
211
* *, '
MiS
B[ esL [ N4
Fsbjhgb?
Bnidbjgb?S hbngkbk
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HMSSIHHGMJIX KI NB VIJKGDGB
JB[YSBNIX?
Bkg{gvbx ? $Dizhnb ki yvb ki kgx{gj{bx vbsgikbkix*$Dizhnb ki yvbx ki nb dgxdb vbsgikbk qism hmj kgx{gj{m esbkm ki dbkysiz*
$Dizhnb ki yvb dbwms w yvb dijms*
$Dizhnb ki vbsgikbkix ryi diomsij in hmnms m nb bhgkiz ,ioidqnm disnm{'
Xyx{sbh{gvbx ? Hmjxgx{i ij nb ingdgjbhgj kin kgxmnvij{i. ix kihgs in beyb* Xi kiobryi nb yvb xi qbxgfgryi xmcsi nb qnbj{b. ix qbsihgkm b nb xmcsidbkysbhgj. {bdcgj
xi qyiki qbxgfghbs xmcsi in xyinm xmnim*
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HMSSIHHGMJIX KI NB VIJKIDGB
BS[GFGHGBNIX?
Bkg{gvbx? BKGHGJ KI B_YHBSIX?
$Bkghgj ki dmx{mx hmjhij{sbkmx m dmx{mx hmjhij{sbkmx sih{gfghbkmx ,xgj hgkmx'$Bkghgj ki bzhbs ki sidmnbhlb ,Hlbq{bngzbhgj'. ix{b hmssihhgj jm ix{bqisdg{gkb ij {mkmx nmx hbxmx*BKGHGJ KI BHGKMX?
$Bkghgj ki hgkm {bs{sghm*
$Bkghgj ki hgkm h{sghm. lbx{b yj d|gdm ki 2es-N$Bkghgj ki HbXM;. xmnm qisdg{gkm ij bneyjbx zmjbx w lbx{b yj d|gdm ki 2es-NKIXBHGKGFGHBHGJ?
$Bkghgj ki cghbscmjb{m qm{xghm ,L@HM8'$Bkghgj ki HbHM8$Bkghgj ki HbHM8 dbx nb xbn kmcni kin hgkm {bs{sghm w kin dnghm*
Xyx{sbh{gvbx ? $xdmxgx*$Inbcmsbhgj b qsixgj bn{b ,IQB'
$Ivbqmsbhgj b vbhm qbshgbn ,IVQ'$Ivbqmsbhgj b qsixgj sikyhgkb ,IQS'
gjghgm
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hgkmx kin vgjmhgkmx qsixij{ix ij in vgjm qsmhikij{ix ki bh{gvgkbkix dghsmcgbjbx*
Dbwmsg{bsgmx? $hgkm xyhhjghm ,2es-N'*
$hgkm bh{ghm ,21 b 811 de-N'*Dgjmsg{bsgmx? $hgkm K ,$' nbh{ghm*$hgkm qgsvghm. dyw sibh{gvm*$hgkm cy{bjmghm. mnms b dbj{irygnnb$hgkm li|bjmghm*
$hgkm mh{bjmghm*$hgkm kihbjmghm*$hgkm hi{meny{sghm*$hgkm kgdi{gnenghsghm*$hgkm fsdghm*
Gjlgcgkmsix kin hsihgdgij{m ki nb nivbkysb. qismxyx ix{isix hhnghmx {gijij bsmdbx besbkbcnix*Fmsdbkmx qms nivbkysbx
Fmsdbkmx qms nivbkysbx
Cbh{isgb dbnmnh{ghbx? hgkm N$,+'$nh{ghm
Cbh{isgbx kin eijism
Bhi{mcbh{is w Enyhmcbh{is
$hgkm bh{ghm*
$hgkm enyhmjghm*$hgkm 9$hi{menyhmjghm
{
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hgkmx kin vgjm? hgkm xyhhjghmNb xj{ixgx kin hgkm qyiki ifih{ybsxi qms {six vbx?
Hbscm|gnbhgj kin hgkm qgsvghm? Xi fmsdb in m|bnhi{ghmryi qms sikyhhgj msgegjbsgb hgkm dnghm. ryi xyfsi yjb
kixlgksb{bhgj gj{sbdmnihynbs fmsdbjkm in fydsghm ryi ijqsixijhgb ki JBKL3 fmsdb in hgkm xyhhjghm*
Sibhhgj ki nb hmijzgdb B hmj hgkm qgsvghm? kmx dmnhynbx ki hmijzgdb B
sibhhgmjbj hmj kmx dmnhynbx ki qgsvghm fmsdbjkm kmx dmnhynbx ki bhi{gnhmijzgdb B.ryi xi hmjkijxbj ij qsixijhgb ki beyb w JBK kbjkm ij yj xmnm qbxm in hgkm xyhhjghm*
B qbs{gs ki hgkm eny{dghm? In hgkm eny{dghm qms xgdqni kixbdgjbhgj m|gkb{gvbhmjkyhi b xy hmssixqmjkgij{i hi{mhgkm ,$hi{meny{sghm'. nb qiskgkb ki HM3 kiix{i
hmjkyhi b nb mc{ijhgj kin hgkm xyhhjghm*
b{sx
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hgkmx kin vgjm? hgkm bh{ghm*In hgkm bh{ghm fmsdbkm qms nbx nivbkysbx kysbj{i nb fisdij{bhgjbnhmlnghb qsmhiki i|hnyxgvbdij{i kin hgkm qgsvghm ryi xi qyiki hmjvis{gsij bhi{gnhmijzgdb B dikgbj{i kmx vbx?
Nb qsgdisb vb ix nb dx gdqms{bj{i w ij innb nb bhmijzgdbB xi yji bn qgsvghm ij qsixijhgb ki JBK msgegjbjkmbhi{gnhmijzgdb B. ryi {sbx xy lgksngxgx msgegjb hgkm
bh{ghm*
Nb xieyjkb vb ix xgdgnbs b nb qsgdisb qism ij nyebs ki qsmkyhgsxi HM3 xifmsdb hgkm fsdghm w jm sirygisi nb qsixijhgb ki JBK*
b{sx
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hgkmx kin vgjm? hgkm nh{ghm. cbh{isgbx nh{ghbx*
Nb x cbh{isgbx nh{ghbx xmj hbqbhix ki msgegjbs nh{ghm b qbs{gs ki kgvisxmx xyx{sb{mx.fyjkbdij{bndij{i li|mxbx w hgkm dnghm*
FISDIJ[BHGJ NH[GHB KI LI\MXBX?Fisdij{bhgj lmdmnh{ghb? Cbh{isgbx kin eijism qikgmhmhhyx. x{siq{mhmhhyx wbneyjb ixqihgi nbh{mcbhgnnyx* Xi qsmkyhi nb fmsdbhgj kin qgsyvb{m b qbs{gs ki nb enyhmxbw b qbs{gs ki ix{i in hgkm nh{ghm
Fisdij{bhgj li{ismnh{ghb?Bkidx ki hgkm nh{ghm xi qsmkyhi i{bjmn. HM3 w bvihix bhi{b{m* Nbx qsgdisbx i{bqbx ki nb fisdij{bhgj li{ismnh{ghb {gijij nyebs qms nbsy{b bismcgb ki nb li|mxb dmjmfmx{b{m. nyiem xgeyi nb sy{b ki nbx qij{mxbx* Ijzgdbhbsbh{isgx{ghb ix nb qij{ynmxbfmxfmhi{mnbxb. ryi smdqi nb |gnmxb$9$Q ij bhi{gnfmxfb{m w
enghisbnkilgkm$8$Q. in hybn kb nbh{b{m*
gjghgm
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hgkmx kin vgjm? hgkm nh{ghm. cbh{isgbx nh{ghbx*FISDIJ[BHGJ NH[GHB KIN HGKM DNGHM ,dbnmnh{ghb'
Nb fisdij{bhgj dbnmnh{ghb qyiki hmjxgkisbsxi yj qsmhixm i|isejghb w qyikiifih{ybsxi ij hmjkghgmjix jmsdbnix. kixqnbzbjkm in irygngcsgm lbhgb nb fmsdbhgj ki
qsmkyh{mx. xgj idcbsem nb ijiseb kixqsijkgkb jm ix {gn qbsb nbx hnynbx cbh{isgbjbx wbryi jm xi fmsdbj ijnbhix fmxfb{m ki bn{b ijiseb*
Jm lbw hbdcgm ji{mx ij in ix{bkm sikm| ki nbx hmijzgdbx. {bdcgj xi hbsbh{isgzb qms nbix{isimixqihgfgkbk w xy sijkgdgij{m hmdj ix kin 59)*
I|gx{ij {six sy{bx b qbs{gs ki nbx hybnix xi fmsdb hgkm nh{ghm qbs{gijkm kin hgkm dnghm?
Dikgbj{i nb bkghhgj ki yjb dbnb{mkixlgksmeijbxb ,DKL'. qyiki qsmkyhgs K,$'$nh{ghmm N,+'$nh{ghm
Dikgbj{i nb ijzgdb dnghb ,ID'. qyiki qsmkyhgs K,$'$nh{ghm m N,+'$nh{ghm*
Dikgbj{i nb bhhgj ki nb ijzgdb dbnmnh{ghb ,IDN'*
gjghgm
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IRYGNGCSGMX GJGHMX
BHGKM-CBXI
[imsbx? $Bsslijgyx*$Csmjx{ik Nmusw*
$Niugx
$qL$Jiy{sbngzbhgj*
$Vbnmsbhgj*
Hmj{bj{ix? @b. @c. @u
Gjkghbkmsix
QSIHGQG[BHGJ
Nb xmnycgngkbk xi vi bfih{bkb qms?$Gj hmdj*$Ifih{m xbngjm*$Hmjx{bj{i kginih{sghbkin dikgm*
Hmjx{bj{ix? @qx. Qx
Niw ki bhhgjki dbxbx
Esbkm ki kgxmhgbhgj.
b{sbx
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Irygngcsgm ki xbngfghbhgj.
ihybhgj ki Lijkisxmj$lbxxincbhl*LB L B+ +
B D B+ +
P T
L B@b
LB
+ 4
NGCSI?
JIY[SBNG_BKMX
Fmsdbx ij nbx ryi xi qsixij{bj nmxhgkmx ij in vgjm. ki ix{mx kmx irygngcsgmxkiqijkis in irygngcsgm hgkm$cbxi
P TLBL @b
B+
4
Ihybhgj kiLijkisxmj$lbxxincbhl
nmeqL L+ 4 P T
nme nmeLB
qL @b
4
P T
nmehgkmx
qL q@b
Xbnix
4
b{sbx
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Esbkm ki kgxmhgbhgj
Ix nb fsbhhgj ki dmn ryi xi kgxmhgb ij yjb sibhhgj8 8
@bHL HMML HL HMM L + +
,2 'Hm Hm Irygngcsgm Hm
Hm | Hm | Hm || Hm 4
P T
3 38
8
, '
,2 ' 2
L HL HMM Hm Hm@b
HL HMML Hm
+ 4 4 4
|P T
38
8
L HL HMM |@b
HL HMML Hm |
+ 4 4
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Hmjhij{sbhgj w bh{gvgkbk ki nmx gmjix
P T , 'Hmjhij{sbhgj dmnbs Bh{gvgkbk4Kgxmnyhgmjix b kgnyhgj gjfgjg{b
Ij yjb kgxmnyhgj nmx gmjix ix{j ij hmjx{bj{i dmvgdgij{m kicgkm b nbx fyiszbx ki
b{sbhhgj w siqynxgj. ix{bx fyiszbx hmynmdcgbjbx xmj nbx sixqmjxbcnix ki nb fmsdbhgjki besiebkmx ki gmjix. xmj sixqmjxbcnix qms nm {bj{m ki nb dmvgngkbk gjghb. ryi xi visbbfih{bkb qms in {bdbm. nb hbseb w nb hmjhij{sbhgj ij in dikgm* Qbsb qmkis {ijis ijhyij{b nb dmvgngkbk y{gngzbdmx in fbh{ms ki bh{gvbhgj w bx qmkis hmjmhis nbhmjhij{sbhgj ifih{gvb*
Hmjhij{sbhgj ifih{gvb, ' , '
, '
B
B
B f B
f Fbh{ms ki bh{gvbhgj
4
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Hmjhij{sbhgj ifih{gvb m bh{gvgkbkb f h4
P Tnme 1. 917f z z G+ 4
, ' , '
, '
L@{
BL
+4
Ij kgxmnyhgj bhymxb w 39H
z+ hbseb kin hb{gjz$ hbseb kin bjgjG fyiszb gjghb
Kicidmx ki {ijis ij hyij{b {bj{m nb fyiszb gjghb hmdm nb qsixijhgb ki i{bjmn ij in dikgm
Nb hmjx{bj{i ki bhgkiz ryi y{gngzbdmx jmsdbndij{i ix nbhmjx{bj{i {isdmkgjdghb ,@{'. ryi hmjxgkisb nb bh{gvgkbk. qismjm {giji ij hyij{b jg nb fyiszb gjghb jg in i{bjmn kin dikgm
Fyiszb gjghb 32
3g gG D z4
Kgxmnyhgmjix lgksmbnhmlnghbx nme2 , '
BB
z B Gf
C G
4
+
zBhbseb ki nb ixqihgib ki{isdgjbs*
B. C hmjx{bj{ix ki{idqisb{ysb w hmjx{bj{ikginh{sghb*9 3
8 9 3
1. 91;5 1. 1;3,) ' 9 21 ,) '
2. 68
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Hmjx{bj{i ki bhgkiz dg|{b
, ' , '
, '
B L@{
BL
+4
P T, 'B L@d
BL
+
4
LB L B+ +, '
, ', '
BLL @{
B+
4
P T, '
BLL @{
B+
4
H{i* [isdmkgjdghb
H{i* Dg|{b Geybnbjkm ix{bx kmx ihybhgmjix
P T
, 'BL B@d @{
B BL
4
P T, '
, '
BL
B
BL f BL
B f B
4
4
BL
B
f@d @{
f 4
Nb hmjx{bj{i ki bhgkiz dg|{b ix qsmqmshgmjbn b nb hmjx{bj{i {isdmkgjdghbdikgbj{i nmx fbh{msix ki bh{gvgkbk ki nb ixqihgi hgkb kgxmhgbkb w ki nbdmnihynbs. nmx fbh{msix ki bh{gvgkbk b xy viz kiqijkij ki nb hmjhij{sbhgjki gmjix m nb fyiszb gjghb ,dikgkb kin ifih{m xbngjm'*
I k k cg g k gk
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Ix{bkmx ki hmdcgjbhgj ki hgkmxdmjmqs{ghmx w kgqs{ghmx*
L B L ++P T
B L@b
BL
+ 4
P T P Tg irirBL B BL 4 +
, ' , '+ 4
3 83L M L M ML
+
+ 8@u L M ML +
4
IHYBHGMJIX
Hmjx{bj{i ki bhgkiz
Hmjxisvbhgj ki nb db{isgb*
Inih{smjiy{sbngkbk*
By{mgmjgzbhgj kin beyb*
Yxm ijijmnmeb
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Ix{bkmx ki hmdcgjbhgj ki hgkmx
dmjmqs{ghmx w kgqs{ghmx*
BL B L
+
+H 1
hgkmx dmjmqs{ghmx*
2 1
,2 'g
H g
Hg
H
gjghgbn
Irygngcsgm Fsbhhgj ki dmn ryi xi kgxmhgb
32
2
gg
g
H@b H @b
H
4 4
gH L
+ 4
P T2 LBL @b L @b B
+ +
4 4
P TLBCbnbjhi ki xbngfghbhgjB
2nmeqL q@b
4
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Ix{bkmx ki hmdcgjbhgj ki hgkmx
dmjmqs{ghmx w kgqs{ghmx*3
3
L [ L[ L
L[ [ L
+
+
+
+
P T2 33
2
L[ L@b
L [
[ L
@b L[
+
+
4
4
P T32
L [L[ @b
L
+ 4
hgkmx kgqs{ghmx*
P T333 2 3 3
L[ L [[ @b @b @b
L L
+ +
4 4
P T P T
P T P TP T P T
3
3 3
3 3
3 3 2 2 3 3
g ir ir ir
g ir
L [ L [ L[ [L [ L [
L [ L [ @b @b @bL L
+ +
4 + +
4 + +
P T P T, '
3
2 2 23 3 3g ir
L @b L @b @bL [ L [
L
+ +
+
+ + 4
, '3
2 2 2K L @b L @b @b+ + 4 + +
P T P T3 3 3g irK
L [ L [
L+
4
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Ix{bkmx ki hmdcgjbhgj ki hgkmx
dmjmqs{ghmx w kgqs{ghmx*P T P T
P T
P T3
3 3 3 3
3
gg ir
ir
L [K KL [ L [
L [L L+ +
4 4
P TP T3
3
3
irL [
g
L [L [
43
3
L [ LK
+
4
P T3
ir
L[
g
L[
L [
4
Esbkm ki kgxmhgbhgj qbsb L3[
Esbkm ki kgxmhgbhgj qbsb L[$
P T
P T P T
3
2
3 3 3
Ir
g ir
L [L[ @bL
K
L [ L [ L
+
+
4
4
P T
P T
32
33
L[
ir
L [@b
L
KL [
L
+
+
4
xgdqngfghbdmx
2
L[
@b L
K
+ 4
Esbkm ki kgxmhgbhgj qbsb [3$
3
2 3
[
@b @b
K 4P T
P T
P T3
3
32 33
3 33
Ir
ir
[g Ir
L [@b @b
[ L
KL [ L [L
+
+
4 4
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Qyj{mx kin xgx{idb
P T3L [ L[ 4
P T2 2 2 23
L[ L@b @b L q@b qL
L [
+
+ 4 4 4
3L[ [ 4
Qyj{m 2?
3
3 3 3 3
[ L
@b @b L q@b qL L[
+
+
4 4 4
Qyj{m 3?Qyj{mx ki hms{i
Qyj{m 8?
, ' 1
1L[
L
f L
+
+ 4
4
Ix yj d|gdm qms nm {bj{m
, ' , '2 2 22 3
3
31
3
L[
L
@b K @b L L @b q@b q@bqL
K
+
+ + + + 4 4 4
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Cbnbjhi ki xbngfghbhgj
P T P T
L B B@b@b
LB LBL
+
+
4 4
In cbnbjhi ki xbngfghbhgj ij yj vgjm ix in hmhgij{i ki nb hmjhij{sbhgj ki hgkmkgxmhgbkm ij{si nb hmjhij{sbhgj ki hgkm hmdcgjbkm. qmkidmx hbnhynbsnm qms nbsinbhgj kin q@b w in qL*
[bdcgj qmkidmx hbnhynbsnm lbhgijkm yj cbnbjhi enmcbn hmjxgkisbjkm yjlgqm{{ghm hgkm kin vgjm*
) 211BH
Xbngfghbhgj
B[ BH
4
+
Gjghgm
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Hbqbhgkbk {bdqj ki nmx vgjmx
P Tnme
BLqL q@b
B4
P TBL B qL q@b 4 4
C
qL
4
Nb hbqbhgkbk {bdqj ix nb hbj{gkbk ki cbxi ryi xi bbki qbsb bydij{bs in qL ijyjb yjgkbk. ij yj sbjem qsiki{isdgjbkm xi i|qsixb hmdm dir ki cbxi qms ng{sm ki
vgjm. w kiqijki ki nb bhgkiz kin hgkm kcgn w in qL. xi dbjgfgix{b qsgjhgqbndij{i ij
in sbjem ki qL 8$9
Nb d|gdb hbqbhgkbk {bdqj ix b?
hbqbhgkbk {bdqj
C Hbj{gkbk ki cbxi bbkgkb
4
, '
P T
njnj nme 3.818 nme
3.818
2 2nj nj
3.818 3.818qL q@b BL B
4 4
4
P TP T
nj 2
2nj
3.818
|| |
BBL|| qL
| BL B
4
4 4
P TP T
P T
P T
P T
2
3.818
2 2
3. 818 3. 818
C CC B BL qL
BL B
BL BC CqL
BL B BL B
4 4 4 +
4 + 4
+
P T
P T
3.818BL B
BL B
4
+
Gjghgm
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Hbqbhgkbk {bdqj ki nmx vgjmx
3.818B[ BH
[ BH
4 +
P Thgkm
hgkm BL BqL
4 4 4
Ij yj vgjm? PBLT Bhgkiz {g{ynbcni*
PB$T Bnhbngjgkbk ki nbx hijgzbx*
Xg ij nyebs ki nb hbqbhgkbk {bdqmjbkmsb ij fyjhgj ki nb bkghgj ki yjb cbxiryisidmx hbnhynbsnb ij fyjhgj ki nb bkghgj ki yj hgkm nb ihybhgj xisb?
3.818 [ BHB[ BH
4 +
Gjghgm
Nb hbqbhgkbk {bdqj ix {gn ij{si m{sbx hmxbx qbsb in hbnhynm ki nb bnhbngjgkbk
ki nbx hijgzbx